FUNDAMENTAL OF MATH

Play an AI-generated podcast conversation about this lesson

Which set includes the number zero and the set of counting numbers?

Integers

Counting Numbers

Whole Numbers (correct)

Rational Numbers

What is the result of adding -4 and -6?

-10 (correct)

-24

-2

10

Which of the following operations should be used when the minuend and subtrahend are both positive and the minuend is greater than the subtrahend?

Multiply the numbers

Subtract the numbers forthwith (correct)

Add the numbers

Change the sign of the subtrahend and proceed as in addition

What is the result of multiplying two integers with unlike signs?

The negative of the product of their absolute values Signup and view all the answers

What type of numbers are used in counting and are also called natural numbers?

Counting Numbers Signup and view all the answers

In the roster method, what is the set of integers?

{-2, -1, 0, 1, 2, 3, 4, 5…} Signup and view all the answers

What is the solution to the inequality -4 < 2x-3 ≤ 9?

-1 ≤ x ≤ 6 Signup and view all the answers

Which property of inequality states that if a < b and b < c, then a < c?

Transitive Signup and view all the answers

What is the process of finding all the solutions of an inequality using the properties of inequality called?

Inequality Solving Signup and view all the answers

Ani’s grades in the last four tests were 85, 89, 90, and 93. What must be her grade in the fifth test to get an average of at least 90?

94 Signup and view all the answers

What is the solution to the inequality -4 ≤ 2x -3 ≤ 9?

-1/2 ≤ x ≤ 6 Signup and view all the answers

In solving word problems involving linear inequalities, what properties are used instead of the properties of equality?

Properties of Inequality Signup and view all the answers

Which of the following is a composite number?

9 Signup and view all the answers

What is the greatest common factor of 24 and 36?

12 Signup and view all the answers

What is the least common multiple of 8 and 12?

24 Signup and view all the answers

Which of the following is an improper fraction?

$\frac{5}{3}$ Signup and view all the answers

What is the product of $\frac{2}{3}$ and $\frac{3}{4}$?

$\frac{1}{2}$ Signup and view all the answers

Which method can be used to find the least common multiple of two numbers?

Intersection of Sets Method Signup and view all the answers

What is a counting number that has exactly two factors called?

Prime number Signup and view all the answers

Which of the following represents an equivalent fraction to $\frac{4}{9}$?

$\frac{16}{36}$ Signup and view all the answers

What is the sum of $\frac{2}{5}$ and $\frac{3}{10}$?

$\frac{7}{15}$ Signup and view all the answers

Which method can be used to find the greatest common factor of two numbers?

Prime Factorization Signup and view all the answers

What is the divisor in finding GCF using Euclidean Algorithm for 24 and 36?

24 Signup and view all the answers

What is the first step to simplify a fraction?

Express the numerator and denominator as products of a number and their GCF Signup and view all the answers

What is the procedure to convert a decimal to a fraction when it's a repeating decimal?

Multiply the decimal by a fraction with a numerator and denominator as a power of ten with as many zeroes as there are decimal places in the given decimal, and then simplify Signup and view all the answers

What is the rule for ordering fractions?

Two fractions are equivalent if their cross products are equal Signup and view all the answers

What is direct proportion?

The product of two quantities being compared is constant Signup and view all the answers

What does finding the missing term of a proportion involve?

Equating the cross products and solving for the unknown Signup and view all the answers

How should decimals be aligned for addition or subtraction?

Align the decimal points so that digits with the same place values are in the same column Signup and view all the answers

What is percent literally meaning?

"Per hundred" Signup and view all the answers

What is the first step to convert fractions to decimals?

$\frac{1}{100}$ one hundredth Signup and view all the answers

What is the place value of tenths in decimal notation?

$0.1$ Signup and view all the answers

When are two fractions said to be equivalent?

"When their cross products are equal" Signup and view all the answers

How should decimals be added or subtracted?

Write them in a column aligning their decimal points so that digits with the same place values are in the same column Signup and view all the answers

What is used to make fractions similar before adding or subtracting?

A common denominator (preferably the least) Signup and view all the answers

Which property states that for any real numbers a and b, a + b = b + a and a x b = b x a?

Commutative Property Signup and view all the answers

Which type of algebraic expression consists only of non-negative integer powers of variables and no variable in a denominator?

Polynomial Signup and view all the answers

What does evaluating algebraic expressions refer to?

Substituting given values for variables Signup and view all the answers

Which property of equality states that if a = b and b = c, then a = c?

Transitive Property Signup and view all the answers

What is the solution to the linear equation 2x + 5 = 13?

$x = 4$ Signup and view all the answers

Which property allows us to have all variables on one side of the equation and the constants on the other?

Addition and Subtraction Property of Equality Signup and view all the answers

What is the first step in solving word problems involving linear equations?

Determine what is to be found Signup and view all the answers

$3x - 4 > 7$. What type of inequality is this?

$ ext{Greater}$ $ ext{than}$ $(>)$ Signup and view all the answers

$2x - 3 ext{ and } x + 5 > 8$. What type of compound inequality is this?

$ ext{Less}$ $ ext{than}$ $(<)$ $ ext{or}$ $ ext{equal}$ $ ext{to}$ $(≤)$ $ ext{and}$ $ ext{greater}$ $ ext{than}$ $(>)$ $ ext{or}$ $ ext{equal}$ $ ext{to}$ $(≥)$ Signup and view all the answers

What is the basic formula for percentage?

P = R x B Signup and view all the answers